Improvement of estuarine and coastal modeling using high-order difference schemes
Chu, Peter C.
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How to reduce the computation error is a key issue of using a-coordinate coastal ocean models. Due to the fact that the higher the order of the difference scheme, the less the truncation error and the more complicated the computation, we introduce three sixth-order difference schemes (ordinary, compact, and combined compact) for the sigma coordinate coastal models in order to reduce error without increasing much complexity of the computation. After the analytical error estimation, the Semi-Spectral Primitive Equation Model (SPEM) is used to demonstrate the benefit of using these schemes and to compare the difference among the three six-order schemes. Over a wide range of parameter space as well as a great parametric domain of numerical stability, the ordinary sixth-order scheme is shown to have error reductions by factors of 50 comparing to the second-order difference scheme. Among the sixth-order schemes, the compact scheme reduces error by more than 50-55% comparing to the ordinary scheme, and the combined compact scheme reduces error by more than 60% comparing the compact scheme.
Estuarine and Coastal Modeling, 5, American Society of Civil Engineering
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